Question

24.15 Estimate the liquid diffusivity of the following solutes that are transferred through dilute solutions: a. oxygen in ethanol at 293 K; b. methanol in water at 283 K; c. water in methanol at 288 K; d. n-butanol in water at 288 K. Compare this value with experimental value reported in Appendix J.2.

Answer 1

Emol VM 23.7 liquid Diffusivity Can be found from the empinical from Coorelation of wilke and chang: C Appendix J-2 atomicvolume Daß = 117.3 x1048 COMB) 0.57 Ve = 14.8 m² Vo = 7.4 - u xCUAJ 6. hare DAB- Diffusivity of A in dilute solution. (m²ls) MB2 Molenler weight of solvent (kg /kmd) T2 Tempratima (ºk. uz viscosity if solution only. (kaims) vn 2 Solute mold crime . m3/kmol. = Association facter for Solvent 2.26 for water ? M Bethand=346gmas 1 1.g ty methand 4 Standard. MB water a) 18g Imol. l 1.5 for ethand. MB methand a) 42 g miel 10 fer unassociates Solvent (Data from literature) x 10 Methand. 2) 1.25 293 le ms 46 10.5 Снек *1625 ton x P) 06. VE W oxygen in ethand at 2930k DAR 2 117.3x100 (+5X 4 ) x 293 K P u watu 2) 0.001 1 2 u water » 0.001 he has u methand at 0.6 113 DARZ 117.3 x10'8% (1.5 x 46 xlong ke jo.5 x243 • mitos e os x 10.059 min) DAB=> 117.3 810 18 x 0.262 x 293 1,25 X X10 3 x 0.183 LV >0.059 m3 DAB 23 9.00, our | Pag on emn at 2g3°h (part an = (angon ME >) Ve x2 +VOX + Vox 2) 14.8x2 + 37% +7-4 V ) 59.2 m? - Temul my n a > 9.0x10 - onenig mio ? mais para o ) Quase xı OLOSIP X16 0.039 Arwer 2.297 410-4

- Simitaly for oem wt of water. b. Mednand in wary at 283°k. 118glna C 3 18x16PKG mot 7 ) x 28°4 Dana 117.3 X10 PX (2-26 x 18 x10Kg * 283°2 10.001 Kg (upst. Cvm .6 mus Vom H₂O 2) VHX2 + Voxl 37 3.7x2 + 7.4x1 rikma = 1000 mot] 35 14.8 m har Von >> 0.0148 min pulni in egnabores mol. Dana 117.3x10 18 X (2-26 x8x103 ks jos x293"k 0.001 ICA (6.0148) 0-6 Dar z 117.3 x10-6 x0.201 x 293 cool x 0.0798 TH | Vm=CH₂OH • Vexi tun X Answer +Vox =) 74.8 + 3-7x4 + 1.9 c) DAB =) ( 998 xos 7.99 $105 jar water in methann. (at 288°K). DAR Z 117.3 x 101% (1.9 x 42 x10 3 10 => 37 m3 > 0.037 Timo m3 mot. 1 x 288 " To.61 X10%) x (0.037.0.6.

DAB 2 9.54 xins 0.084 X10-31m2) laethand at - 283°k = Ooll x 109 mis parte IDAR2 Kmaloom L mis 10.103 m3, 0:6 Kma d) Similary for n but and in water at 288k Cangon DAR = 117.3 x1018 (2-26 x 18 x10 ² ks jos +288 [vos tivo 2) 14.8 xy + 1083.7 + 7.4 » 10316 m3 - 117-300 58.08 ( m²) Vbs) 0.10 m3 o.opX 0.255 mol. DARS) 681X10"S » 10.026 X10 mins 2.55 X104. Annn (partas in the value of when componed to the table (J+2) Appendix. q -> 10.7x10^9 m?15] 07 DAR 2 0-039 x 169 m 75. 6) DAR 30.086x109 mis C) DAB 9-11x109 m²ls. 0 DAB 2 0.026 X10-9mels. All the names differs, to a very small range when compared to the Appendix (J-2) Table...
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